Taking the Sun as a blackbody and taking into account

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Taking the Sun as a blackbody and taking into account that its maximum emissivity corresponds to a wavelength of 500 nm, determine: 1) the temperature of the Sun´s surface; 2) the energy emitted by the Sun in 10 minutes; 3) the mass lost by the Sun during this time.

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Problem 50068. A detailed solution with a brief note of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the answer.
If you have any questions about the solution, write. I try to help.

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